THE METHOD OF FUNDAMENTAL-SOLUTIONS FOR NONLINEAR THERMAL EXPLOSIONS

被引：113
|
作者：
CHEN, CS
机构：
[1] Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada, 89154, Las Vegas
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1995年 / 11卷 / 08期
关键词：
BLOW-UP; METHOD OF FUNDAMENTAL SOLUTIONS; BEM; THIN PLATE SPLINE;
D O I：
10.1002/cnm.1640110806
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical method based on the method of fundamental solutions, thin plate spine interpolation and monotone iteration is devised to find the minimal solution of the steady-state blow-up problem. The method of fundamental solutions requires neither domain nor boundary discretization and results in high accuracy and efficiency. For illustration, critical values of the Frank-Kamenetskii parameter are given for different geometrical boundaries in the two-dimensional case.
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页码：675 / 681
页数：7
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